We're dividing 437693 by 3 
We want to divide 437693 by 3.

Advancing to step 1:
If we divide 4 by 3, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 1 after subtracting 3 from 4.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 3

Let's proceed to step 2:
13 divided by 3 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 14.0
If we take 12 away from 13, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 3

Let's proceed to step 3:
If we divide 17 by 3, we get 5 and a remainder of 2.
The next digit of our result is 5. 
Result so far: 145.0
If we take 15 away from 17, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Advancing to step 4:
3 goes into 26 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 1458.0
Deduct 24 from 26 and we're left with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 3

On to step 5:
When dividing 29 by 3, we get 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 14589.0
If we subtract 27 from 29, we get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Moving on to step 6:
3 goes into 23 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 145897.0
Deduct 21 from 23 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 145897.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 145897.66
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 145897.66 with a remaining 0.002.